Information on Result #692344
Linear OA(1696, 4134, F16, 30) (dual of [4134, 4038, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) based on
- linear OA(1685, 4096, F16, 30) (dual of [4096, 4011, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(1658, 4096, F16, 21) (dual of [4096, 4038, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1611, 38, F16, 8) (dual of [38, 27, 9]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1697, 4135, F16, 30) (dual of [4135, 4038, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1696, 2067, F16, 2, 30) (dual of [(2067, 2), 4038, 31]-NRT-code) | [i] | OOA Folding | |